Almost k-wise independent sample spaces and their cryptologic applications
Författare
Summary, in English
An almost k-wise independent sample space is a small subset of m bit sequences in which any k bits are “almost independent”. We show that this idea has close relationships with useful cryptologic notions such as multiple authentication codes (multiple A-codes), almost strongly universal hash families and almost k-resilient functions.
We use almost k-wise independent sample spaces to construct new efficient multiple A-codes such that the number of key bits grows linearly as a function of k (here k is the number of messages to be authenticated with a single key). This improves on the construction of Atici and Stinson [2], in which the number of key bits is Ω (k 2).
We also introduce the concept of ∈-almost k-resilient functions and give a construction that has parameters superior to k-resilient functions.
Finally, new bounds (necessary conditions) are derived for almost k-wise independent sample spaces, multiple A-codes and balanced ε-almost k-resilient functions.
We use almost k-wise independent sample spaces to construct new efficient multiple A-codes such that the number of key bits grows linearly as a function of k (here k is the number of messages to be authenticated with a single key). This improves on the construction of Atici and Stinson [2], in which the number of key bits is Ω (k 2).
We also introduce the concept of ∈-almost k-resilient functions and give a construction that has parameters superior to k-resilient functions.
Finally, new bounds (necessary conditions) are derived for almost k-wise independent sample spaces, multiple A-codes and balanced ε-almost k-resilient functions.
Publiceringsår
1997
Språk
Engelska
Sidor
409-421
Publikation/Tidskrift/Serie
Advances in Cryptology / Lecture Notes in Computer Science
Volym
1233
Dokumenttyp
Konferensbidrag
Förlag
Springer
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Conference name
International Conference on the Theory and Application of Cryptographic Techniques - EUROCRYPT'97
Conference date
1997-05-11 - 1997-05-15
Conference place
Konstanz, Germany
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1611-3349
- ISSN: 0302-9743
- ISBN: 978-3-540-62975-7